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Finding the Third Proportional to 4,322,520 and 10,005,856

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Solution

The third proportional to 4,322,520 and 10,005,856 is: 23,161,756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322,520 : 10,005,856 = 10,005,856 : x
  2. Step 2: Convert to fraction form
    4,322,520/10,005,856 = 10,005,856/x
  3. Step 3: Cross multiply
    4,322,520x = 10,005,856 × 10,005,856
  4. Step 4: Simplify right side
    4,322,520x = 100,117,154,292,736
  5. Step 5: Solve for x
    x = 100,117,154,292,736/4,322,520
  6. Step 6: Final answer
    x = 23,161,756.17

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.